{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2af4cc40cc0>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY=np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self). __init__ ()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2af4ce1cdd8>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "out=model(dataX)\n",
    "data=np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt=paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss=paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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wpHuEe54/5HZx4kSiMf7aZAjBtx7d43JpRrHHECyXUa7EEJ7e20HHQJBXjvTyl325I6Jt/QH2tA0QjMT4yTP73S5OnFAkxl+bjHjh957cd5yIumkh3L/JCKf+amsz7QO5JaKZwNE8BKXUw0qpFUqppUqpr5rbblVKPWS+3qyUmqeUKlVK1Sql1pjbn1NKnaKUOs38/1PbOfcrpTYopZYppa5USrnSDd7fMURlcQE1pX5uf/p1N4qQkFeP9gHQWFXMz184xEgoN8z6po5BQpEYp8+v4qXDvbx8ODdE1Epu58nBUUZN7YP4vR4aygu54y+5U8deOmTcuwU1Jdy36QgDgbDLJTI41hcgEI6xflE1u48N8Pw492Qk6p4gHOwaYkldKSJw97MHXSnDdJL3M5UPdA6yek4Ff3v2Qp7c3c6R7mG3iwTAzpZ+/F4P37jiVLqHQvx+21G3iwRAa5/RK/rURSsoL/JxZ448FJbLyGcXhBxZRrOpfZCT5pRzw3mLebapi71tA24XCYDdxwYQge++7zQGghEe3NrsdpEAaOkbAeDvLlhKTamfO/96cMz+mEsuI6UUh7qGuXBlAxedNItfbjqck/GXqZD3grC/c4jF9aVcvWE+HoFfbcmN8c2tfSPMqSri3KW1LGso41c58rC2mYKwpL6U96xt5NGdx3KiZxmx5TIqKjCq9XAoNwYKvN4xyNKGMq5aN48Cr3B/joyhbx8IUFvq58yFNZzSWMmvX8qNOnbMrGOL6kq5at18ntrTPiaOFokpV0aQdQwEGQlHWVRXwt+evZCe4TBP7mrPejmmk7wWhJFQlN7hMPOqi5lTWcz6RTU8niM3uGMgSF1ZISLCu9c2svVQT074LI/1BxCBhvIiLlvbSCgS4/HX2twu1pigcmNVMQBHekbcLBJg9Co7BoLMriiitqyQ85fX88Qu938vgPb+IPXlRQBcvraRHUf7OdQ15HKpRq3QOZVFXHb6XKIxxSO24HIspgjHsi8Ih03vwfyaEs5dWktVSUHO3MtMkdeC0DVk9DrqSgsBeNOqBna19tPa535D0jEQpL7MKNcbV9QD8Mxe9wOSbf0BaksL8fs8nD6viroyP8/kQKB02IyxFBd4mVddgtcjOdG49Y9EiMQUtea9vHBlPYe6hjnQ6X7Z2geCNJQb5XrzqgaAnAh6H+sboaLIR2mhj1Wzy5lfU8zTe0cnpUZi7riMOgdDANSXFeLzenjjino27umYUSlS8loQuoeMG1xTauTVsx6KjXvcnxHdMRik3nxYV8+poK7MP+ahcIvWvgCzK41yeTzCuUvr+GtTp+vDKXuGzXtZ5sfv89BYVZwTjW6n1ekoM+rYhSuMOvbUbvct0faBQFwQFtWWMK+6mL/kQB1r6w8yq8KwXESE85bW8cL+rvg8jmhMEY2puFWYLeJ1zNZedA+FeKW5N6vlmE7yWhC6BkcbEYDlDWU0VhW7/rAGI4YryxIEj0c4f3k9z+xzvzfSNRiKWy4Ab1hWR8dAkL1tgy6WyhB3n0coLzTmOi6uK+UP21t5wmV3llXHak0rdEFtCUvqS9nocsMbjSk6B0M0VBjlEjHq2POvd7k+Oqt7OER16Wjy43OX1TEQiLCjxUhwYD0D2XYbje9AXriiAa9H2JgD4p4p8lsQhqyH1bjBIsK5S2vZfLDb1R6v1YhYggBwwYo6eobD7GpNlPUje/QMh6guGX1Yz1teBxCfm+AWPWYjYuRNNEZBAfzx1VY3ixUPhtaWjf5m5y+rY/OBbldnLvcOh4jG1Bhxf+OKOgaDEbYdcbfH2zscorqkIP7+3KW1ADxr1jFrAEG23UbdQyFK/F6KCrwAVJYUsHpORU7NX5oqeS0I3aY5X2PrjZyxsJqe4bCr7obxPRGAdQtrAHLgYQ1TaXtYG6uKWVRbwqYD7qay6B4a24icNr+Kd546h+df73JV3DutTkfZ2Do2Eo66alX1jRgjw+z3ct0io465PbekZzg8ptNRV1bIqtnl8XQpUdMyyPZIo+6h0JhnEuDMhdVsO9Kbk2lJJkNeC0LXUAi/10NZ4WiOvzMWVAPuNrz91sNaPPqwzqsupqbUzysulisUiTEYjIx5WAFOmVfFjqMuWy5D4ePKtWFxDcf6A7T0uTc6y7IQamxlWzvfqGMvH3Gv4R0IGENyK4pG61hdWSGNVcVsb+5zq1gopQwLYVzDe9q8Kna29KOUGnUZZbkRTiQIaxdUuS7umSSvBaFnKER1aUHczQCwtL4Uv8/D7mPuTR7qN8f12x9WEeGUxkp2trjX8Fq9SntPHODkuRUc7R2JWzZu0DN8/MO6Zm4FALtc/M16h8OUF/nweUcftfk1xZQX+diTC3WseOy9PHVeZXyWvBsMhaKEo+q4OramsYLuoRCtfQFbDCH7LqPxdWz1HKOO7Wlzt0OUKfJaEHqHw1QVj73BPq+HZfVlLj+sRu+tvGhsdvLFdaUc7h52zQXSa46yqBrXE19tNrxu/mY9w6HjyrVqdgUi8JqLcZe+kfAYSw8McV9aX0ZTu3u9yoEkdWxJfSnNPSOuuUB6hhLXsbi4t/bH05Rk22U0Pn4GxjPp93rY3Zobs8+nSl4LQn/g+IcVYOXsclfTC1guo/G9t/k1JQwGI/QOuzMzuGfYshDGPhRzKo2JYG5lzDTcDOHjepWlhT4W1JSwx8V7mUgQAJY1uCsI8TpWNLZsjVUlRGOKtgF3MuxaQzvH17H51SUAtNgthCyLVn+Ce+nzeljWUOaqRyGT5LUg9I1Ejmt0wVD91r6AaznPLQvBHtsAmF9tNLyHXcq31BO3EMb+ZrMrjTHjbgnCSDhKJKYS3stZFUV0uNS4QXJBWFpfRvtAMO66yTbJLIRGs4619LozOdPq7IyvY7VlhXgEOvoDrowyisUUA8EIFUXHrynWWF2cc+nDJ0teC0IixYfR0T2WiyTbDATClBf68HrGLla3oNboJR3pcUcQ+hIEu8EQrlK/l2MuPRT9I8cHSC3qywrpdHE9id7hUMI6Zk3u63RJrPoDYTwCpf5xgmCm/TjqUtqPRMFuMFKS1JYV0tYfxPKYZtNCGAhGUOp4qx2MYetdLsbPMkleC0LfSJiK4uMV3xKEbpcEoT+J5WK5Zo65NGom2cMKMKuyiPZ+9xo3IOG9rC3zx+d1uEHfSOS43i6M+sh7XHL/9Y+EKS8qwDOu0xEXBJcshMGg8XuUJeiJN5QXxjOhQnYFIZkbF4z2omcolPWZ09NB3gpCJGoMoUzUe7P8l26NmukPhI8z5QEqigyrwa0YwqApCKWF3uP2zSovctFCSOwPB2MoZd9I2BX3n1KK/pFw4kbEEgSX6thAIJKwjhX7vZQX+lwT0WSuLDAEwd4ZyqbLKJl1DIYgRGLKNfdfJslbQbD89KlcRm4JwkAgnLBxExEqiwvoHXGnXIPBMCV+75ghlBYNFYWu+eqTDaGE0QlhbtzLQDhGKBpL2enoccsKTVLHwJis5lYdswRhvCsLjAy7rWMEIYsWQoKh4BZWHZsJbqP8FYQ0ig/u9d4Ml9HxDwQYwTa33AwDgchxgW6LyuKCeC8q24zGEI4vW52ZmsGNOEKqXmV1qbHNLWuvP4mFAEYd63PLCg1GKPV7j4ufgZFzbDA4usaFGy6jRPfSylPl5jycTJG3gpDqYbV8vt1DLjW8QcO/m4iqYvce1oFgJKFvF4xy9QfCrvhRU1oIpe713qyFgxLdy7JCHz6PuBinSuzKAqgq9tPrkrgPBiJJ6/74ZzW7gmB2OlLEHN2MVWWKvBUEq6eRqMdb4PVQUeSL5zrKNv0jiYe3gRGMdMvNMJDiYa0oLkCpUZM/m1i9t4RxF7MRcWNVt9E6dnzMRUSoKvG7OJItuYVQWVLgXrmC4aSdjuMFIXudj1SdjmqXRyVmkrwXhNJkLpASd1wgSilj2GkyC6GkwMWgcjieXno81sPqxm/WH4hQ6PNQ6Du+4bUaPTeEaihoLNqTyB8OUFNa4OrAhWQxhKpi9+pYOreknawOO7XmBiW4l1Yds7uzTlTyVhCGUlgIAOWFBa7c4KFQlJhKbJqCac671BMZDCZ/WK1hlG4IQqreriWsrloIScpWUVQQd0Vkk1hMMRhMPLQZzE7HSNiVFCkpLRcXBWEoGKHE7z1umC6MikS/C52OTJP3gpDMQigv8rlyg1MNoQQjsdxQKOrKMEonD6sbo1OGgpGk97HU78Uj7lgIqdySYNSxgaALQhUyJ1kljQf5iZqikW0GgxMRhOwJ1lAoeR3zeISyQp8rnY5M40gQRORiEdkjIk0ickuC/ReIyEsiEhGRKxLsrxCRoyLy37ZtG81zbjP/GqZ2KRNjIO3DWuCOPzxFIBJc9okHkgeV3XQZDQUjSd0yItbD6obLKF2nw6U6lqbTERd3F9xGgznqMhoMRpOWCwxxH8wHC0FEvMBtwCXAauBqEVk97rDDwPXAvUlO8+/A0wm2X6OUOt38y+o6dEPBCF6PUFSQ+CeoKHJH8eOzgZO4jNzyicdiisFQJGkMwRqZ5YYgDKYY/QRGw9vvUrkgeaejotgdoUo1+QvsnQ43ypY8fjbexZVtl1GiCZkW5UXu3MtM48RC2AA0KaX2K6VCwH3AZfYDlFIHlVLbgePukIicCcwCHstAeTPGUDBKqd87Zi0EO27d4NERM0keCnN7tmdFDpluhnRDAl2xEELJe5XgnvtvMBjB5xEKfYkfM8NCyL6vPlUaBhh1JWW7jkVjiqFQ8p74+M5INl1Gg8EIJUmsUDDvpQvuv0zjRBAagSO2983mtrSIiAf4NvCZJIfcZbqL/lWStMwicpOIbBGRLR0dmVuYPFWAFIwbPBiMZP1hHc0XlFsWQroAaaHPg88jcTdJNhkKRpO6ZcAQUTesPSu2karTEY4qglmOB6XKSQWjQpFtq2oolNpyGR/QzbaFkKq9cMstmWmcCEKi2uy0lfw48LBS6kiCfdcopU4Bzjf/PpjoBEqpO5RS65RS6+rr6x1+bXpSBSLBqJTRmGI4FM3Ydzoh1Xhn+/ZsP6yWfzTZQyEilBa640c1xD33zHknnQ7I/r0cjVPlVqcjnStrPNkUhOFQ6k5H3sQQMCyC+bb384AWh+c/B7hZRA4C3wKuFZGvASiljpr/BzBiDxscnjMjDKYVBHf8qKkmWdm3Z71cDh7WskJfPFifTVIFlcG90Tzp/M6jrhl3Gt7kLiN33JKjnY7E5RpPtl1GqTsdBXkz7HQzsFxEFouIH3g/8JCTkyulrlFKLVBKLQI+DdyjlLpFRHwiUgcgIgXAO4Edk7qCCfD03g72matnpTMBRxve7D4UAykmWYHNQsj2wxpMLwjlRb6su4xiphWXTtzdshDS9Soh+3XMaacj23MkBtJYLuPJelA5RafDrUEomSatICilIsDNwKPALuABpdROEfmyiFwKICLrRaQZuBK4XUR2pjltIfCoiGwHtgFHgR9P4Toccd2dm7jou38BnJjz7vTe+lOMsgBjEoxI9ss1GLcQUpSt0Jf1seuW3zndvRwIZD8e1DcSpipJLxxGe+LZt/bCFBd4KUiQtRaMZSFL/N7sd4bSxKkASvyjHaVsCYKzToePYCTm2iqLmcKRFCulHgYeHrftVtvrzRiupFTnuBu423w9BJw5saJmlp7hcMKFSyzcmuGaKtMpjE6Cybbf2fodUgbWinxZzxAbTw+RxkKIxhQj4WjKkSKZpm8kzLL6spTlAnd89anqGJizqF1yGSUb2gyGIFhxvXAkOwLvpNNh7RsMRqjx+ZMel+vk5UxlY1H2UDzdQiIqXPPVJ88xY1Hhggsk3SgjMBrlbMcQrBW20o0Rh+zfy77hxEu0WrjmMkpjhYIxRyL7LqP0VmhRgc1CiGWnN25N0KvMwQ5kpslLQRgKRQlHFdUpbnCZi8HbdD5UY1x99mMbkDi5l0W5C6OMrLUhrBTEiXCj4Y3GFP2BCJUpOh2jbsns38tkw5otyt2wEFIsn2kx1mWUHQvByi5c7eBenuhDT/NSECy3Ruob7I7iDwSS56m3cGNcvZWFMlFyLws3YgjdDu7l6KiZ7JXNuj+pLIRSMx7kxki2tBaCC0N1+0bCeD1CSUFya6/Y1iEJZ8lfP9rpSG8hnOjlzHV0AAAgAElEQVTLaOaNINgXbrFMwOoUvUq3kqIZayGkfljLi7JvzvcOh1I2bmD07IZDUaJZXCTHEndnFkL2frNUCzBZjCZFcyOGkM5llH0LoWswRE2pP2Wno9iWaiZbQWWrjqVyMcdTYGsL4cTA7m/sjpuAyR+K0aRo2ffvpjPnK4qzP02+YzBIfXlhymOswJoVhMsG3Y7M+exbe5YgpBplBO4Eb/tG0tcxo9ORZUEYCsVXuEtG8ZgYQnZdRjV54DLK3pALl7EPB7PWE0il+JD98euDwQihSMxBubJvIXQMBJlfU5LymPhIi0B6KydT9AyFKC7wUuzPraCyk0AkZH8WdSAcpWsoxOyKopTHWQMXlFJJU29kmq7BYHzB+mR87pJVtPUHUWTXZSSSfCIf6KDyCYc9ADXqd3bgmsniw9rcMwzAvOrilMdZMYRsjqvvGHBgIbiwclT3UDiluwjcCSpbvUonFkImyvWJX7zEPc8fTHvcsb4AAHOq0tSx4gIi5lDdbGFYCKnr2KrZFTz8yfOpLinIqsuosrgAb5r4GZz4FkIeCcJo5TnUNUyp35u2Icl28PZI9whA2p54eZGPmDJGS2WDcDRG93CIujJnLqNsPhQ9wyGqUwT7wJ3g7cHOYUSc3ctMWHt/fLWVW3+fbj4otPQZdWxuVWoLwY3Zyt2DobQWgkWB15M1l1H3UCilSxLA7/NQ6POc8Mto5o0g2F1Gr3cMsrShLK0pnG1z/ki3YSHMT2chZHmRnO6hEEqR1kKwGpFspq9o7QukFSqPRyjzZ/de7u8cZG5l8Zhx84nIdp6lll7DQmhMZyFk2QUSjEQZCEbSxhAsCrweXjnSS1t/YJpLZrQXi2pTCzvMjHxGeSMIdgthX9sgS1PMILXI9sN6pGeYEgeWS7Z7b62mm6EhbVDZaESy1UsKhKPsaxtg9ZyKtMeWF2V3SOz+jiGW1JemPS7bcaqjPYaFMLsyTQwhyzmzrHI1pIltWPh9RmfurWYqmukiHI3xescgK2enr2MzIZ9RHgnCqHl5rD/A0hx8WA90DrGwtjSt5ZLt3turR/sA0ja81mzhbA2929s2QCSmOLmxMu2xZVlMT6yUYn/HBDodWcyztK99gHnVxUmTJ9rLBdnrdGw91APA6fOrHB3vMZ+R6V6Q6WDnEOGoYuVs5/fyRCZvBGF80qllDe48rD95Zj/bjvQm3Lf32AArZzkrF2Sv97b9SC+1pf60we5y00LIZPqKF/Z38fhrbQn37WrtB2DN3PS9t0xPmtt9rJ83f2sjR3tHjtvX1h9kKBR13OmIZjB4q5Ri66FuWhKUC+C11n5HFtV0pMDuGQolfZa2HuqhosiXMveTnUy6JZ/a085tTzUl3NfUPgjA8obytOfJ9OzujoEg7/7hs+w1MzRng/wRhHEjEpz13jL7sL64v4uv/HEX/3DfywQjUZ5t6qR9wHDH9AfCtPQFWDE7fcXL9Jq37QMBzv3PJ/nkfS8TiymOdA8Tsf1erx7t45R5lWktl+mwEN5/xwt85J4tBMJRmnuGxyTPO9Q1jM8jzKtO798ty/AAgW/8aQ/7O4f4045jdA+F2H2sP97Y7e8wGpElDuqYlWRuKvfS3sj+amsz7/3R83z+t68Sicb4y94OmtqNBmU4FOFA5xCrHQioVa5M+cS7BoOc8ZXHufbOTcRiioOdQ2M6aXvaBlgztzLlpDQ7mfTV33DXZr756B56hkI09wzTbotLHOwy4nqL6pyIe2YthN+81MzLh3v58+52gpHsDCDJm3kI44eoLXAUJBp9WDORJfOuZw8C0D4Q5MJvbqS1L8CKWWU8dPMb2HPMeGhXOOqJWOZ8Zhq43718lJa+AL/f1sIjO44RisQ4pbGSez9yFj6PhwOdQ5y/vC7teXxeD8UF3nhOmqly2HwYAd7+vWfY3znE/JpiHvzouXz+N6/SNxJmblVxyuGAFuVFvviw3qkSiyl2mG60B7c2881HdxMIx7jtA2fw9lNm83rnEIDjGAIY93KWQ//5eOzu0Ie2GWtXPdfUxZu+vZEj3SPUlxfy2D9cwMGuIZRK7/oDm4WQoTr2h+2tKAXP7Otk+RceIRpTvP2U2Xz5spM52DnE4a5h3rpmluPzWeI+1SkS9qD0lbc/T1P7IJXFBWz89IX84M9N7Gnrp67MnzLTqUV5hmMIv335KABfe2Q3dz97kF9//Ny0gwGmSt4KQjofKowdvz7Zh9WiPxDmz7vbAWM5vuoSP9efu4i7nzvIzfe+HO+RnTovvT8807l5HtlxjKX1pRzqGiYUifGBsxZw36bDnPKlxygvNPK8O+ntgumrD2amN/PELsNVtKS+lP0dQ9SXF3Kke4Sz/uPJ+DFvWJZeqCCzifd2tPTRPhAEDLfVOUtqeaW5lx/8eR93PnuArYd6KPV7007+gsysu2FPFfLigS7mVhbR0hcgHFH826Vr+OJDO1n7749z5ZlGhvqTHAhCoc+D3+vJWI/3iV1tLKwtIRpTNPeMsGp2OQ+/eoyHXz0WP2ZBTXoBtbBiG6mSLTotFxgzoJvaB1k1u5zdxwa4+scvsNvspJ25sNrRuTIZc9zV2h//foDFdaX4HFpPUyEvBeGsxTWOPpPJhveF17sIRY1e5OaD3Xz0jUuZVVHIU3va45USnI2yKCrw4vd6HPkrI9EYHpGkpvhIKMqrzX185IIlXHraXEr9PhbUlrB6TgVf+N2OeDxgsQOTGYyGN1O9pCd3t7GsoYxH/+ECuoaC1JT4ec+PnmN7c1/8mPk1znpMmYwhPLGrHY/AT69fT+dAkPeeMY8HX2rmsw9ujx9z2vwqRzN8KzIwac6elkUpuPOG9Ty1u4N3r21kdmURzzZ18thrbfxqazOQfuIjGKlbKoozk1U3HI2x9VAPV5w5j5vfvIxYzBixdstvtvPAlub4cQsdWO0W1u+Vah0MJzz+WhsLakrY+OkLGQhGqCwu4IM/fZFn9nXGj1lU67Dum7m8ItEYviSLDznlsZ1tiMDX33sqmw9085V3n+yoEztV8ieGYPNXfuEdqx19JpMpD1480E2hz8PfrG7gS5euYXZlESLCj69dxzevOBWAd5021/H5Koqd+SuX/csjXHfXpqT7Nx3sJhJTrF9UzUlzKuKutL89eyHPfPZN8eOWOwjCg5GqwZqlOxXa+wO8sL+bt66ehdcjNJQX4fN6+PmHzuIHV6+NH+d0VEp5UUH8YZ0qT+5q48yF1bxpZQNXrpuPxyNcfnojF66sj7vW3ryqwXG5YGp1LGJzGa2ZW8Gq2RV87MKl8aGl37zyNH587Tp8HuGi1bMcp6IoLyrIiMto84FuhkNRzlpcS0N5EbMri/B4hG9ccRrbbr0oftwKBwMq4seasbZUKUvS0TMU4q/7Orn45Nl4PBJPRPj1957Kh85bHHdFvuPU2Y7OZ93LTHQ8nm3q5OS5lVy1bj7fvPK0rIgB5JGFEDIfmic+9UZHI4wgc/lJHthyhHtfPMyGxTXH3dgVs8pZMaucS06ZQ4HXuUk4kYfV3tuxs+NoH5//zavMqijkrMW1x+2fX1PC/TedTUVxAbVpJn9Z1JcVcqhrar769v4AH/3frURjiivXzR+zr7KkgHedNpe2/gC/23aU95yRcqG+OGXxSXNRKksm1w+KRGN8+/G97Gzp558vWTVmn9/n4e4bNgCws6WPkxyMW4fMdDrsIpco305lcQEXrZ7F7n+/mMgEZvdmIgX2nmMDfPbX25lVUcibVtUft7+qxM8n37KcuVVFLHMQP7O487r1vPuHzxKZ5CI53UMhPv6LrURiikvHdcTmVhVz67tW87Y1s/jdtqNcuMKpuI/ey3T5yJIRiym++8ReNh/q5uMXLp3UOaZC3giClQjLPwFTLhMP6+sdg3zu19s5e3Et37rytKTHOQla2ZnqwzoSivLR/91KOBrjfz54ZlLT+6wlxwtFKurKC+NjyifL39/3MrtaB/jyZWuSuqpuPH8JN56/xPE5rd5fz3AobcK5ZDy4tZkfbXydq9bN47pzFyU9bs3c9HEgi0x0OuyNfKqkgj6vh4l0NKc6jDIQjnLjPZsJhKN8/+q1SQdm/ONFKyZ87upSP+csreWJXe2TKtvnf/MqLx3u5QvvOCnpPJazltROqP5bv33fSJj5aY5NxmOvHeMHf27iPWsb+fiFyyZ5lsmTNy4jK4ZQ4HPeC7fyl3RPYZ3gnz13kAKvhx98YO2UA9N2pvqwPrrzGM09I3zrytM4Y4GzoJkT6soK6R4OTdo109I7wgv7jd7Rtecsyli5ZlUYFo4VDJ4MD25tZllDGV9/76lpU1I4pdTvxeuRKU2wsruMSqbgQhmPsYzm5Mu1cU87R7pH+MYVp3LuUmfB/4lQ6PMSnMSQ8L7hME/ubuODZy+cUKciHfXlRnvRMTj5OvbAlmZmVRTyzStPm3J8ZDLknyBMwEIo9nupLilIOsknHZFojD9ub+Wtq2elzbczUZw8rKka5d9tO0pjVbHjUTpOqS/zo9TkRfThV1sBeOcE4ilOaCg3xHiyuW8OdQ2x5VAP7z1jXkbTQYsIDeWFtPVPvhGxB5UzJVQw9bW7H3qlhbqyQi5YfryrKBMUFngITCIF9p92thKOHu8qmipWh6+tb3J1rK0/wMY97bz3jHmOhlJPB3kjCFYMYSKCAIY/MdFs1F9tORKfxZiMp/d20DUUmlCw2Cn1ZYUJe7tKqfhEpWCSh6VzMMgz+zq59PS5jicCOcUSvsn2kv7vlRZObqxwPKrJKakshA4HVsODW5sRgcvXZv5eGnXs+LjLpgPdHDDnNKTCbiH4fZl7pCuLC+gdnlya9YFAmCd2tfPOU+dMecRNMgp9XkKR2ITL9/ttLSyqLXE0xHsiWJ2OY+M6HUopNu5pT2s1P7i1mZiCK850FhebDvJHECYRQwAjK+R4C+Fw1zCfeXA71/70xZSf/dnzh2goL3Q84mQizK0qZiAQOc5t9M1H9/Cmb20kHI2NEYS3f++Z+OsHtzYTjSkuP70x4+WyMqKOb2T7A2F+v+1oypQD25t7eaW5b1rKVVlcgN/nic8Mt/i/V1pY/9UneK4pceAdDF/4Lzcd5s0rG5hTmfmJQUYdG1uu/kCYq25/nnf94K9pP28PrGZSEOZUFhGKxugcHGvtPfFaGzff+1LK2bO/ffkooUiMy07PvIBaFJrXatXz11r6eWDzkZTl2tc2wHOvd2Xc0gPjt68t9R9n7f1heyvX37WZHz9zIOlnw9EY9754mHOX1jqe8zMdOKo9InKxiOwRkSYRuSXB/gtE5CURiYjIFQn2V4jIURH5b9u2M0XkVfOc35dpXpZp1GU0sa+ZW1XM0Z6RMb2Q/9tuzAZt6QswbFsuciAQjs84fnF/F3/Z28F15y6asFXihEZzLLmVJRIM//sPN77Owa5hnt7TQcDmX32ttZ+2/gB9w2F+/Jf9nL+8jpUO0mRMFCuNxBFbuZRSXH/nJj553za+8/jeMcdbriWlFN9+bC/lRT7et36yIbnkWK6Z9nEP6482vg7Atx/fO2bd7WN9gXiajJ89d5DOwVBG/c125lYV09o3Mub7H95uuM4Gg5Ex6TpCkVh8xvXuY/184t6Xxky4K8ygIMw1Z8XaO0R9I2FuvGcLf9jeyqM7x+aYsnrAg8EIP3zqddYtrHY8LHgyWO6xYDjGUDDCDXdv4rO/3s5X/7hrzHFt/YH48/vtx/ZSXODlmrMXTkuZZlUUHeeWfOiVlvh/+z1u6w/EvQ+/3HSYo70j3Hj+4mkpl1PSRi1ExAvcBlwENAObReQhpdRrtsMOA9cDn05ymn8Hnh637UfATcALwMPAxcAjEyn8RAiEo/g8MmHztbGqmKFQlP6RSHx0ijWD0CNw/Z2b+dKlaygt9HLF/zxP52CQf/ybFdy/+QiNVcXccN6iTF8KMPZhtWaebjrQHd//hd/t4CfXrRvzmevu3ER5kY/ekTCfu3jssMlM0VBeiN/n4XDXqKtj04FuXjpsJPT76V8P0NYf4GvvPZXvP7mPO/6yn4tWz2JxXSlP7+3g1neujo+8yTSzK4qOs/YOdg1RUeRj66Eerr1zE1++bA37O4a4+ZcvUVXs5/rzFvGdx/fyNyc1cM7SiY24ckpjdTHhqKJjMBj3Q+9oMSbfeT3Cx36xlds/uI7e4RDX/ORFmntG+Pu3LOf7T+4D4DxbwDaT49WtTkdL7winmQ3786+PWlJf+cNrVBT5WLeohk/+8mU27u3gAxsW0No3QttAgNuuOWNal98ctRCi7GgZpK0/SF2Zn3ueP0TXUIj/uPwU7nz2AN97ch9vXT2LVbPL+dPOY3zmbSvTppifLLMri+Lp4i12HzOSMO5q7ecj92zhX95xEu0DQT5092a8HuGm85fww42vc96yWt60MvPehIngJIy9AWhSSu0HEJH7gMuAuCAopQ6a+45zkonImcAs4E/AOnPbHKBCKfW8+f4e4HKmURBGwtExC3Q7Jd4T7x2JC0Jr7whnL6nhkpPn8MWHdvL27z/DrIpCBgJh/F4P33l8L1UlBdzzoQ0ZyYGUiHlVo+WyePlwDyV+L/926Ro+8+B29rWPzZJoCdlX332yo5TRk8HjERbUlHC4e9Qnfsh8/btPnMc1P36BP2xv5WjvCC8f7mV5QxlP7mojpuDdaxu5PsVwzqmyoKaEF/Z3xd8HI1GGQ1E+/dYVbD3Uw1N7Orjxni209gbwez30joT42iO7WTmrnG9ckXzI8FRpNFcva+4ZiQvCoa5hTmms5MbzF/MP929j/VefoMjniS9UZIkBjJ2FX+dwxTFn5Tq+jj3b1EWp38v9f3cOH/7ZZv7u51tZNbucHS39nDy3gp+/cAiAf33nascpHyaLZSEEwrH4AIvvX72WT963jT9ub6XFrGPVJQU8sauNx15r45KTZ/PRN07f+P751cVsPtAdX4taKUXHQJAb37CYjsEgv9/WwpZDPXgEBGPewbcf38uSulK+c9XpWVu/OhlOWqtG4IjtfTNwlpOTi4gH+DbwQeAt487ZbHvfbG5LdI6bMCwJFixY4ORrExIIxyiaxJA8e0/cyhLZ2hdgw+Iarjt3EYFwlP98ZDdt/UEe/Og5rJlbySM7WrlgRX3GRxbZqSsrxO/1jHlYX2vtZ83civjkpJHQaENx9YYFvG/9fIoLvNPiKrKzsKZkzOQ0a6TK4tpStn/pbZz+5cd4+XAvGxbXcP9NZ7OvfZDe4TDrF1VP6wOxoLaE3247SjASpdDnpW/YaESqSvx87+q1vPeHz7GvfZBSv5dH//ECvCLsaOnj3KV1GR29M57GKsPN1tI7Em9ED3UNc+q8Si47vZFIVPFPv3qFUCTGrz92Lqc0VrJxTzvH+gPc+vudcUF4z9pG3utwop4TKosLKPF7x9Sxo70jLKor5eTGSn72oQ1c/F/P8EpzH59520o+fuFSXjrcQ2mhj1UOJ+ZNBbuFYMXSFtSU8PRnLmTDV5/k5cO9nDSngj/8vzfQ1D5I91CIs5fUTGsdm19TwkAwQs+wsdb3YDBCIByjoaKQT79tJc09I/F5Ok99+kJKC71sOtDNm1c1TFvncSI48Z8k+vWchvU/DjyslDoybrvjcyql7lBKrVNKrauvn/zwtUA4SlHBxP2r1tqz1lq00ZiirT/AHDMtgDVW3iOwblENxX4v7zlj3rSKARg98TlVRWNiCP0jEWpK/fEf1x7fKPR5OH1+1bSLARgPhb1co3lnjDH3H9iwgEW1Jdz6ztWICCtmlbNh8fQ+qGDkylFqdO3qHlMQqkv8VBQV8Pl3nATAP711JXMqi2moKOLNq2ZNqxjAaB2zGt5wNMbR3pF4bp/L1472lc5cWI3f5+Gta2bHrQkrtfs1Zy/M6KgxEaHRjKFZDAYi8Qmbq2ZX8LmLV7FmbgUf2LAAEeHMhTVZEQMYFYRAOBbvdFQUF1Di93HduQvxiGENez3CytnlnLO0Ngt1zBgdd8h0mVoB+fryQooKvHz+7Yar9j1nNLK4rpSG8iLeeercnBADcGYhNMOYiXfzgBaH5z8HOF9EPg6UAX4RGQS+Z55nMuecFCOhybmM6koNn7j1UHQNBonEVFwQiv1e7rphveMEWJmkcdyQ2MFghLLCgvhqUvagciaDjemYU1nEQNAYAVVRVMBgIEKJ3xuP3/zz20/in99+UtbKY2Fl0zzcPcSyhjJ6zZxLVaYr8MIV9Tz40XOm3dUxnvKiAiqKfPH4RudgkGhMxa1Tr0f43SfOO242u3WfrRF0Ex0w4YS5VcXxzhAYix/ZUzB/7MKlfMyFFAtAPJ1K+0CA/pEwIqPZTz910Uo++ZYVGR115QRLxA93D7N2QXV8tJ3VQTxjQTU/vnado3TybuBEEDYDy0VkMXAUeD/wAScnV0pdY70WkeuBdUqpW8z3AyJyNvAicC3wg4kVfWJMNobg8QhzK4toNgXBGlJmz0rqViBoblUxz+zriL8fCIQpL/LhMZ+BEbcEwWwwWnsDVMw2JjdZvUo3sR5Wy53VE3cZGYIgIqxb5CwTbqaZa+uJx3u7tuB6otE6VvNvuYx8nukZzWYtoQowGAxTXjT9VqYTrLkqB7uG6Q9EKC/0xS0kr0dcmdw13xxlZ63l0WnOx7GGY4sYCQZzlbQ1SCkVAW4GHgV2AQ8opXaKyJdF5FIAEVkvIs3AlcDtIrLTwXd/DPgJ0AS8zjQGlMFyGU3O9F9QWxoPklq+ysoEScSyTWNVMe0DwfjknKFQlLJCX9wstscQCqfZ7WFnbuVYN9tAMDxtI4cmQm2pnxK/Ny4IfSOWhTA9I04mwnxbIN4ShHQiarX/02khNFYV0z0UirsfBwORCefdmi6qSwooL/JxqGuI/pFwwsR+2abY76WhvDA+kMIShOl2IWcKR3dWKfUwxtBQ+7Zbba83M9YFlOgcdwN3295vAU52XtSpEQhHJ/3gL6wpYdthIxBk+cNzoce7pL4UpYyF05fUlRGNKcqKfPGeo91CyPQ0/VTYLQQgZywEkbEjoOIWQg40JNaw21hMOa5jlvBbK6ZNR4/Ycg8d7h5m5axywy2ZA/cSjOtfVFvKwa5h/F7JiU4HGJaoVcesgQu50IF0Qt7MVJ6sywiMG9wfiPCfj+yKL5aTKqtktlg73/B1/3lXOwPmspVlhb64b3nE7NVt+pe3ML/G+eIjU2WWORdhy0FjXoQhCO7/XmDcyz/vbqepfYDeYWOYcCYTwk2WRbWlhCIx/t99L8fz6af7zazmPzSJPF1OseIpf93XSTASIxxVOWMhgDGq6Ei34TKqyBGhmlNZzKYD3Ty9t4P+QJgSv3da7s10cGKUMgMEwrFJL6Zhzb69/en9Cf27bmGtFvbtx/eycbcRSygvsgmCaSFka3ENC5/Xw/XnLuK3246y42ifEdvIkUbESuZ321Ov02umwnZ77DfAIjO+8cftrfFAZFqX0bigsm8aXEbza0pYOaucr/xxF8+Zk9JywdqzmFVRRHt/IGdcRgCr5hgxlq/+8TX6RyI50VY4JW8EYWSSw04B3mAbEXCg00holwtms4jwBXOo5CazN25YCMb+kbDRUEz2uqfCJ960jKriAn64sSlnXEYAHzxnEW8/ZTabDnTTOxymepJrI2SaNbaJgrtbjQmE6Xrilo5NZ1AZjKGbAH/accxRubJJQ0UhQ6EozT0jOeH6A/jwGxazdkEVHQNB+kbC8fXSTwTyRhACockHlcsKfdx9w3oAtjf3xXPY5wIffsNiCn2e+PT40kJf3JcwFIzgkYkn9MsElcUFbFhcw962QfpGwjnlQ12/qIajvSPsPtZPVbH7AWUwfq9ff+wcAHYd60cEStOMTffEYwiWIExPnVy3qIaaUn88T1cuCYKVxXYwGKGhIjcCt4U+L+9e20jPcJi97QPaQshFphJDAFhSZ2Qg3N7clzP+cDAnD1UXj3lYrYaif8QY3eOWS2RedQlN7YMEI7H4sLtcYMUsw6Q/2DUcH3KaC1iuyd2tA5T5fWknmVm3dTpdRqNlK2aXVcdyxNoDmFU+Ovy7PodG8qw069j+jqGcsY6dkBeCEI7GiMTUlARhblVRfFhfrpmA86pL4iNN7DGE/kDY1d7cvOrRCUyZXC1uqtgnVuWSINSXGcH4UDTmqBER0xSc7FofE6GxqjguPLk0hNJuFdSX504dW1A7OogjV2IbTsgLQbBm7E4lBYHP64mP1MklCwFGG16PGNkWrY5l30jY1d6JveHNJUGYUzValuocmINg4fEIC8065qQX7olbCEb9ni6XEYwVd/trt7GvT5FLVuis8qK4q1a7jHKMkbggTO1yl5gzI3PJHw6j5qnP66HQ5427EgLhmKuV0d5LmpUj/l0wfLzWEMXKHLIQAJY1GK5Ju5gmw3IpWT336YxrLZ81Ojs5V/LuAGPWHc4lQfB4JJ6jKtc8CqnIC0Gw3CmZymty9hJ30hskw0pYZzUM9piBmxbCiobRRqQhh8x5GE09kksWAoy6Y06Zl35hGesuGzmsfNMaK1o7jQvdTJULVxpJLxtySBBgdMa5G3nOJsuJI11TIJKhYXlvOWkWT+xq55KT52SiWBljlSkI1qIfHlvD4GYA0OMRLjl5No/sODbpOSDTxbeuPI0/72rjrTmWV2a2mfZjlYOstBIfPDD96SSWmss6lubYfQT4n789k6b2wTHWQi7wuUtW8dKhHt6TwZTk001u/YLThGUhTHUUxvvXz+fS0+bmXMWrKvHzhXecxHnmpCu758DtEQ7//YEz4pZLLnH6/KppXd5xsnzk/CUsrC3hkpNnpz3W0v3+QDieGXW68HiEB/7uHGbnUCzIoqjAO20LPk2Fq9bN56p1mV8OdjrJrZZtmrAWIZ/qKAwRyTkxsLCv9yvYXUbu+si9Hsk56yCX8fs8vPNUZ3mnLEtw2ExqON1sWJxbrlJN5smLGEJkGpN/5SJ2VyNdmaAAAA1iSURBVHIuTSLSZJZcsgQ1M4P8EISYNU47PwTBkyNBZc30MtYS1PdZM3XyQxCmOddLrmG/TDfSVmiyg7YENZkmL1qLTAWVTxTsPUdPDmTy1EwPY0aTFebWfArNiUleCEKmgsonCnbfciYXXdfkFqJjCJoMkxctpBVUns6p/bmEfYJSnlxyXqJjRZpMkxeCEJ7GFaVykTEWgnYZzVjstzaX0kloTlzyooW0RhnlTQzB1lJoPZi52IU/X+q2ZnrJC0GY7hWlcg17Q5Evcy/yEbvwe7XyazJAXrSQkWj+zkPQLqOZi/3O5klfRzPN5EU1isbyd6ZynlxyXqKFX5NpHAmCiFwsIntEpElEbkmw/wIReUlEIiJyhW37QhHZKiLbRGSniHzUtm+jec5t5l9DZi7peMJ5NuxUdEORF3jGxIr0fdZMnbRDE0TEC9wGXAQ0A5tF5CGl1Gu2ww4D1wOfHvfxVuBcpVRQRMqAHeZnW8z91yiltkz1ItKRb8NO9Sij/MB+a3UMQZMJnIxV2wA0KaX2A4jIfcBlQFwQlFIHzX1j8hwrpUK2t4W45KKKB5XzxEIY40rIj0vOS7RrUJNpnDQXjcAR2/tmc5sjRGS+iGw3z/F1m3UAcJfpLvpXmUabN9+S29l/Se1KmLmIdhlpMowTQUhU05TTL1BKHVFKnQosA64TEWuJqmuUUqcA55t/H0z45SI3icgWEdnS0dHh9GvHkG/J7ey5jLQrYebi0RaCJsM4aSGbAfuyP/OAliTHJsW0DHZiNP4opY6a/weAezFcU4k+d4dSap1Sal19ff1EvxYYTW6XLxaCjiHkB/Z7my8j6DTTixNB2AwsF5HFIuIH3g885OTkIjJPRIrN19XAecAeEfGJSJ25vQB4J7BjMhfghEgshtcjeWNWe3Quo7xgzDyEPKnbmuklrSAopSLAzcCjwC7gAaXUThH5sohcCiAi60WkGbgSuF1EdpofPwl4UUReAZ4GvqWUehUjwPyoGVvYBhwFfpzha4sTiaq8GWEEejhivqBTlGgyjaOMWEqph4GHx2271fZ6M4YrafznHgdOTbB9CDhzooWdLOGoyps5CMCYrqN2JcxctGtQk2nyopWMmi6jfEEHG/MD0TEETYbJC0EIx1TeBJRBu4zyBbsG6NusyQR5IQiRaCxvhpyCHn2SL+ilUjWZJi9ayUhU5VW+eD2DNT8Q29OrBUGTCfJCEAyXUV5cKjBeEHRDMVMZawm6WBDNjCEvqpHhMsqfhtGjhyPmBfZbq2NFmkyQF4IQjqq8SWwHOoaQL+j1EDSZJi9ayUgsllejjPQM1vxAx4o0mcbRxLQTnY+cv4RgJOp2MbKGbijyAx0r0mSavBCE85bVuV2ErKJXTMsPtMtIk2nywmWUz+iGYuYyxjWon2RNBtDVaIajBWHmoi0ETabRgjDD0e3EzEXHEDSZRgvCDEcPO525jI0VuVgQzYxBC8IMR/cc8wN9nzWZQAvCDEf3HPMDLQiaTKAFYYajUxrkB3qUkSYT6Go0w9ExhPxAWwiaTKAFYYaj9SA/0IKgyQRaEGY42mWUH2jh12QCLQgzHO0yyg88+j5rMoAWhBmObifyA+0y0mQCLQgzHN1Q5Ada+DWZwJEgiMjFIrJHRJpE5JYE+y8QkZdEJCIiV9i2LxSRrSKyTUR2ishHbfvOFJFXzXN+X7Sze1rQv2p+oB8fTSZIKwgi4gVuAy4BVgNXi8jqcYcdBq4H7h23vRU4Vyl1OnAWcIuIzDX3/Qi4CVhu/l08yWvQpMCrG4q8QMeKNJnAiYWwAWhSSu1XSoWA+4DL7AcopQ4qpbYDsXHbQ0qpoPm20Po+EZkDVCilnldKKeAe4PKpXYomEdpllB9oPdBkAieC0Agcsb1vNrc5QkTmi8h28xxfV0q1mJ9vnuw5Nc7RepAfaOHXZAIngpCopimnX6CUOqKUOhVYBlwnIrMmck4RuUlEtojIlo6ODqdfqzHRvuX8QN9mTSZwIgjNwHzb+3lAy0S/yLQMdgLnm+ec5+ScSqk7lFLrlFLr6uvrJ/q1Gk1eoGNFmkzgRBA2A8tFZLGI+IH3Aw85ObmIzBORYvN1NXAesEcp1QoMiMjZ5uiia4HfT+oKNBqNdhlpMkJaQVBKRYCbgUeBXcADSqmdIvJlEbkUQETWi0gzcCVwu4jsND9+EvCiiLwCPA18Syn1qrnvY8BPgCbgdeCRDF6XRpNXaD3QZAKfk4OUUg8DD4/bdqvt9WbGuoCs7Y8DpyY55xbg5IkUVqPRJEbHijSZQM9U1mg0Gg2gBUGj0Wg0JloQNBqNRgNoQdBoNBqNiRYEjUaj0QBaEDQajUZjogVBo9FoNIAWBI1Go9GYaEHQaDQaDaAFQaPRaDQmWhA0Go1GA2hB0Gg0Go2JFgSNRqPRAFoQNBqNRmOiBUGj0Wg0gBYEjUaj0ZhoQdBoNBoNoAVBo9FoNCaOltDUnHi8e20jnYNBt4uh0WhOILQgzFC++77T3S6CRqM5wdAuI41Go9EAWhA0Go1GY6IFQaPRaDSAQ0EQkYtFZI+INInILQn2XyAiL4lIRESusG0/XUSeF5GdIrJdRN5n23e3iBwQkW3mn3Z6azQajYukDSqLiBe4DbgIaAY2i8hDSqnXbIcdBq4HPj3u48PAtUqpfSIyF9gqIo8qpXrN/Z9RSj041YvQaPKVO69fRygSc7sYmhmCk1FGG4AmpdR+ABG5D7gMiAuCUuqguW9MzVRK7bW9bhGRdqAe6EWj0UyZN6+a5XYRNDMIJy6jRuCI7X2zuW1CiMgGwA+8btv8VdOV9F0RKZzoOTUajUaTOZwIgiTYpibyJSIyB/g5cINSyrIi/hlYBawHaoDPJfnsTSKyRUS2dHR0TORrNRqNRjMBnAhCMzDf9n4e0OL0C0SkAvgj8AWl1AvWdqVUqzIIAndhuKaOQyl1h1JqnVJqXX19vdOv1Wg0Gs0EcSIIm4HlIrJYRPzA+4GHnJzcPP63wD1KqV+N2zfH/C/A5cCOiRRco9FoNJklrSAopSLAzcCjwC7gAaXUThH5sohcCiAi60WkGbgSuF1Edpofvwq4ALg+wfDSX4jIq8CrQB3wlYxemUaj0WgmhCg1oXCAq6xbt05t2bLF7WJoNBrNCYWIbFVKrUt3nJ6prNFoNBpAC4JGo9FoTE4ol5GIdACHJvnxOqAzg8U5EdDXnB/oa84PpnLNC5VSaYdpnlCCMBVEZIsTH9pMQl9zfqCvOT/IxjVrl5FGo9FoAC0IGo1GozHJJ0G4w+0CuIC+5vxAX3N+MO3XnDcxBI1Go9GkJp8sBI1Go9GkQAuCRqPRaIA8EYR0S4CeqIjInSLSLiI7bNtqRORxEdln/q82t4uIfN/8DbaLyBnulXxyiMh8EXlKRHaZy7J+0tw+k6+5SEQ2icgr5jX/m7l9sYi8aF7z/WYiSUSk0HzfZO5f5Gb5p4KIeEXkZRH5g/l+Rl+ziBwUkVfNnG9bzG1ZrdszXhBsS4BeAqwGrhaR1e6WKmPcDVw8btstwJNKqeXAk+Z7MK5/ufl3E/CjLJUxk0SAf1JKnQScDXzCvJcz+ZqDwJuVUqcBpwMXi8jZwNeB75rX3AN82Dz+w/+/vfN3jSIK4vhnIOJvDEYjBylCsLGRCKKGWEQRiyBWaUQwhWCrlXAI/gma1sJSFERBSaPBaKsQjRLRaIRUCV6hia3IWMzssYZD5O7cY9/NBx77dnY43nd5t7Pvvd0d4Luq7gduul9ZuYx9UDOjGzSfUNXh3PsGxfZtVU26ACPAk9x+Fah2ul1t1DcILOT2F4GK1yvAotdvAeca+ZW1AI+wXN9doRnYBrwGjmJvrPa4vd7Hsa8Sj3i9x/2k021vQusAdgE8CUxjibpS17wM7NlgK7RvJz9CoE0pQEvEPlVdBUtCBPS7Panz4NMCh4CXJK7Zp07mgRowg6WhXVP7ND38qauu2Y+vA33FtrgtTAFXgSzDYh/pa1bgqYjMicgltxXat3ta/YES0HIK0ERI5jyIyA7gAXBFVX9YjqXGrg1spdOsqr+AYRHpxRJOHWjk5tvSaxaRM0BNVedEZCwzN3BNRrMzqqorItIPzIjIx7/4/hfN3TBCaCkFaAn5mstGV8HuKiGR8yAim7BgcEdVH7o5ac0ZqroGvMDWT3pFJLuhy+uqa/bju4Bvxba0ZUaBsyKyDNzDpo2mSFszqrri2xoW+I9QcN/uhoDQdArQkvIYmPT6JDbPntkv+NMJx4D1bChaFsSGAreBD6p6I3coZc17fWSAiGwFTmELrc+BCXfbqDk7FxPArPokc1lQ1aqqDqjqIPZ/nVXV8ySsWUS2i8jOrA6cxtIKF9u3O72QUtBizTjwCZt7vdbp9rRR111gFfiJ3TFcxOZOnwGffbvbfQV72uoLlrb0cKfb34Te49iw+B0w72U8cc0HgTeueQG47vYh4BWwBNwHNrt9i+8v+fGhTmtoUf8YMJ26Ztf21sv77DpVdN+OT1cEQRAEQHdMGQVBEAT/QASEIAiCAIiAEARBEDgREIIgCAIgAkIQBEHgREAIgiAIgAgIQRAEgfMb59L2EfQ+BeQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \tMSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.51850963)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch=dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,'\\tMSE',avg_loss)\n",
    "        prediction=np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result'.format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter=100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred=model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title('prediction'.format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(),'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "num_batches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title(\"预测结果\" .format(iteration))\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
